A smooth empirical Bayes estimator for a binomial parameter is derived. The risk in using this estimator is compared by simulation with that of eight other binomial estimators. For those estimators not having a simple closed form risk, suitable regression equations on the simulation parameters are obtained. These equations are used to identify the regions of superiority of each of the estimators. A numerical example is provided. © 1974 Oxford University Press.
CITATION STYLE
Martz, H. F., & Lian, M. G. (1974). Empirical Bayes estimation of the binomial parameter. Biometrika, 61(3), 517–523. https://doi.org/10.1093/biomet/61.3.517
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